Skip to main content
Log in

Fixed-Point Theorems and Common Fixed-Point Theorems on Spaces Equipped With Vector-Valued Metrics

  • Published:
Ukrainian Mathematical Journal Aims and scope

An Erratum to this article was published on 01 January 2014

We show the existence of fixed points and common fixed points for single-valued generalized contractions on the spaces equipped with vector-valued metrics.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. G. Allaire and S. M. Kaber, “Numerical linear algebra,” Texts Appl. Math., 55 (2008).

  2. A. D. Filip and Petruşel, “Fixed point theorems on spaces endowed with vector-valued metrics,” Fixed Point Theory Appl., Article ID 281381 (2010), 15 p.

  3. R. P. Agarwal and M. A. Khamsi, “Extension of Caristis fixed point theorem to vector valued metric spaces,” Nonlin. Anal., DOI: 10.1016/j.na.2010.8.025.

  4. A. I. Perov, “On the Cauchy problem for a system of ordinary differential equations,” Priblizh. Met. Reshen. Differents. Uravn., 2, 115–134 (1964).

    MathSciNet  Google Scholar 

  5. R. Precup, “The role of matrices that are convergent to zero in the study of semilinear operator systems,” Math. Comput. Modeling, 49, 703–708 (2009).

    Article  MATH  MathSciNet  Google Scholar 

  6. I. A. Rus, Principles and Applications of the Fixed Point Theory, Cluj-Napoca, Romania, Dacia (1979).

    Google Scholar 

  7. R. S. Varga, “Matrix iterative analysis,” Springer Ser. Comput. Math., 27 (2000).

Download references

Author information

Authors and Affiliations

Authors

Additional information

Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 65, No. 5, pp. 734–740, May, 2013.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Hosseinzadeh, H., Jabbari, A. & Razani, A. Fixed-Point Theorems and Common Fixed-Point Theorems on Spaces Equipped With Vector-Valued Metrics. Ukr Math J 65, 814–822 (2013). https://doi.org/10.1007/s11253-013-0819-1

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11253-013-0819-1

Keywords

Navigation